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Cayley diagramAliases
Subgroups
340 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 4 generators on 16 points:
(1,2);(3,4);(9,10,11,14,12,13,15,16);(5,6,7,8)(10,13)(14,16)
Conjugacy classes & character table
80 conjugacy classes — view the full character table.
Relationships
| Frattini subgroup of | #93302, #93303, #93374, … |
| Fitting subgroup of | A4×#97, #11711154, #11711155, … |
| maximal subgroup of | C2×#1275, #7861, C2×#1281, … |
| maximal normal subgroup of | C2×#1275, #7861, C2×#1281, … |
| maximal quotient of | C22×#322, C2×#1451, C2×#1452, … |
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(128, 1602);
Finite Group Databasebeta